The generalization of Beltrami – Michell equations of Hooke elastic body to its dynamic state in a curve coordinate system


Abstract in English

This paper concerns the mathematical, linear model of elastic, homogeneous and isotropic body, with neglected structure and small elastic deformations, in the frame of linear theory of elasticity; proposed by Hooke, and shortly called (H).

References used

(E. Sternberg and R.A.Eubanks, On stress functions for elastokinetics and the integration of the repeated wave equation , Quart. Appl.Math.2. 15 (1937
(J. Ignaczak , Direct determination of stresses from the stress equations of motion elasticity, Arch. Mech. Stos. 5 , 9 (1959
W. Nowocki , Theory of Elasticity , PWN Warsaw 1970

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